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Equipotential Surfaces

If the potent...

Question

If the potential at the centre of a uniformly charged hollow sphere of radius $R$ is $V$ , then electric field at a distance r from the centre of sphere will be $(r > R)$ :

A

\frac{V R}{r^{2}}

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B

\frac{V r}{R^{2}}

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C

\frac{V R}{r}

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D

\frac{V R}{R^{2} + r^{2}}

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Solution

The correct option is B $\frac{V R}{r^{2}}$

For hollow sphere, $V = V_{s u r f a c e} = \frac{k q}{R}$

The electric field at a distance r outside the sphere is $E = \frac{k q}{r^{2}} = \frac{V R}{r^{2}}$

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